{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "49b05580-c2ed-43ae-98a3-ce492671a7d9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x432 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "\n",
    "# 定义两个函数，分别用于生成正弦波和余弦波\n",
    "def getSin(amp, freq, phase, sampleList):\n",
    "    return amp * np.sin(2 * math.pi * freq * sampleList + phase)\n",
    "def getCos(amp, freq, phase, sampleList):\n",
    "    return amp * np.cos(2 * math.pi * freq * sampleList + phase)\n",
    "\n",
    "# 分别生成两个正弦波和两个余弦波\n",
    "srate =3000  # 设置采样率为 3000\n",
    "t = np.linspace(0, 1, srate)  # 在 0 到 1 的范围内生成等间距的采样点\n",
    "s1 = getSin(amp=1.5, freq=-30, phase=0, sampleList=t)\n",
    "s2 = getCos(amp=3, freq=-5, phase=0, sampleList=t)\n",
    "s3 = getSin(amp=10, freq=-100, phase=0, sampleList=t)\n",
    "s4 = getCos(amp=20, freq=-120, phase=0, sampleList=t)\n",
    "m = s1 + s2 + s3 + s4  # 将四个波相加，得到混合波形\n",
    "\n",
    "fCoefs = np.fft.fft(m,srate)\n",
    "\n",
    "# 3. 获得振幅列表：每一个绕线的重心到原点的距离\n",
    "amp_list=2*np.abs(fCoefs/srate)\n",
    "\n",
    "# 把频率轴从0~1000 转变成 0~499 然后 -500~-1\n",
    "freqs = np.fft.fftfreq(len(amp_list), 1/srate)\n",
    "\n",
    "# 然后把 频率轴 和 数据 都变成 0hz 在中间，向左是负频率，向右是正频率的形式\n",
    "amp_shifted=np.fft.fftshift(amp_list)\n",
    "freq_shift=np.fft.fftshift(freqs)\n",
    "amp_shifted_copy=np.copy(amp_shifted)\n",
    "freq_shift_copy=np.copy(freq_shift)\n",
    "amp_shifted_copy[(freq_shift_copy > 110)] = 0\n",
    "amp_shifted_copy[(freq_shift_copy < -110)] = 0\n",
    "mask=(amp_shifted_copy>1)\n",
    "amp_shifted_copy=mask*amp_shifted_copy\n",
    "# 把振幅列表画出来\n",
    "fg,ax=plt.subplots(2,2,figsize=(20,6))\n",
    "ax[0,0].plot(srate*t, m)\n",
    "ax[0,0].set_xlim([0,500])\n",
    "m_filtered = np.fft.ifft(np.fft.fftshift(amp_shifted_copy) * fCoefs)\n",
    "ax[0,1].plot(srate*t, np.real(m_filtered))\n",
    "ax[0,1].set_xlim([0,500])\n",
    "ax[1,0].stem(freq_shift,amp_shifted) #注意：由于频率有负值，所以振幅被平分了，需要乘以2才能还原原始振幅\n",
    "ax[1,1].stem(freq_shift_copy,amp_shifted_copy) \n",
    "ax[1,0].set_xlim([-150,150])\n",
    "ax[1,1].set_xlim([-150,150])\n",
    "ax[0,0].grid() \n",
    "ax[0,1].grid()\n",
    "ax[1,0].grid() \n",
    "ax[1,1].grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4ee121fd-775d-447c-a157-8e9d934734f1",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
